Starting from rest, acceleration of a part

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Starting from rest, acceleration of a particle is $a = 2(t - 1).$ The velocity of the particle at $t = 5\,s$ is.........$m/sec$

A

$15$

B

$25$

C

$5$

D

$3$

Starting from rest, acceleration of a particle is $a = 2(t - 1).$ The velocity of the particle at $t = 5\,s$ is.........$m/sec$

$ \Rightarrow dv = 2(t - 1)\;dt$
$ \Rightarrow \nu = \int_0^5 2 \;(t - 1)dt = 2\left[ {\frac{{{t^2}}}{2} - t} \right]_0^5$$ = 2\left[ {\frac{{25}}{2} - 5} \right]$ $ = 15 \,m/s$